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122231011020 = 22355897345461
BaseRepresentation
bin111000111010110001…
…0010011011011001100
3102200111111012201021020
41301311202103123030
54000312114323040
6132052510434140
711554666310466
oct1616542233314
9380444181236
10122231011020
1147924245788
121b832b02950
13b6ac485c31
145cb7777136
1532a5c9acd0
hex1c758936cc

122231011020 has 48 divisors (see below), whose sum is σ = 342305859168. Its totient is φ = 32589314560.

The previous prime is 122231011013. The next prime is 122231011027. The reversal of 122231011020 is 20110132221.

It is an interprime number because it is at equal distance from previous prime (122231011013) and next prime (122231011027).

It is a super-2 number, since 2×1222310110202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (122231011027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181090 + ... + 526550.

It is an arithmetic number, because the mean of its divisors is an integer number (7131372066).

Almost surely, 2122231011020 is an apocalyptic number.

122231011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122231011020 is an abundant number, since it is smaller than the sum of its proper divisors (220074848148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122231011020 is a wasteful number, since it uses less digits than its factorization.

122231011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351370 (or 351368 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 122231011020 its reverse (20110132221), we get a palindrome (142341143241).

The spelling of 122231011020 in words is "one hundred twenty-two billion, two hundred thirty-one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 5897 11794 17691 23588 29485 35382 58970 70764 88455 117940 176910 345461 353820 690922 1036383 1381844 1727305 2072766 3454610 4145532 5181915 6909220 10363830 20727660 2037183517 4074367034 6111550551 8148734068 10185917585 12223101102 20371835170 24446202204 30557752755 40743670340 61115505510 122231011020